Riemann Zeros and Random Matrix Theory

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Abstract

In the past dozen years random matrix theory has become a useful tool for conjecturing answers to old and important questions in number theory. It was through the Riemann zeta function that the connection with random matrix theory was first made in the 1970s, and although there has also been much recent work concerning other varieties of L-functions, this article will concentrate on the zeta function as the simplest example illustrating the role of random matrix theory.
Original languageEnglish
Pages (from-to)135-152
Number of pages18
JournalMilan Journal of Mathematics
Volume78
Issue number1
Early online date27 Mar 2010
DOIs
Publication statusPublished - Aug 2010

Keywords

  • Random matrix theory
  • Riemann zeta function

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